Singularity formation and global Well-posedness for the generalized Constantin–Lax–Majda equation with dissipation

DOI10.1088/1361-6544/ab74b0zbMath1481.35320arXiv1908.09385OpenAlexW3013172755MaRDI QIDQ5019846

Jiajie Chen

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09385

zbMATH Keywords

global well-posednessself-similar singularitygeneralized Constantin-Lax-Majda equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations ⋮ 1D model for the 3D magnetohydrodynamics ⋮ On self-similar finite-time blowups of the De Gregorio model on the real line ⋮ Global existence and singularity formation for the generalized Constantin–Lax–Majda equation with dissipation: the real line vs. periodic domains ⋮ Self-similar finite-time blowups with smooth profiles of the generalized Constantin-Lax-Majda model ⋮ Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation ⋮ On the slightly perturbed de Gregorio model on \(S^1\) ⋮ Global well-posedness, regularity and blow-up for the \(\beta\)-CCF model

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